Optical soliton solutions of the generalized sine-Gordon equation
Keywords:trial equation method, elliptic function solution, soliton solution
In this study, the extended trial equation method based on the general form of the nonlinear elliptic ordinary differential equation is
employed to solve the nonlinear generalized sine-Gordon equations. By using this method, we achieve, unlike new types of exact wave solutions such as Elliptic-F, Elliptic-E, and Elliptic-Π functions that are known as elliptic integrals.
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